Reading seminar on Fractal Uncertainty PrincipleAutumn 2018, University of Manchester

Motivated by the Heisenberg Uncertainty Principle in quantum physics and signal processing, the Fractal Uncertainty Principle states that no signal cannot be localised in both time and frequency into a fractal set. This semiclassical method has numerous recent applications in open dynamical systems, quantum chaos and scattering theory. Moreover, the proof of FUP for various fractals relies on modern tools from additive combinatorics and Fourier analysis. The reading seminar aims to go through this topic and discuss related notions.